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The original cubic interaction terms for higher spin gauge fields in four dimensions and their reformulation using Fock space vertex operators is reviewed. As a new result, the complete list of all cubic vertex functions in D=4 is derived.…

High Energy Physics - Theory · Physics 2016-09-23 Anders K. H. Bengtsson

We provide a proof for the conjectured equality of the generating function of integrated Higgs and Coulomb branch topological operators in 3d $\mathcal{N}\ge 4$ gauge theories and the three sphere partition function deformed by mass or FI…

High Energy Physics - Theory · Physics 2022-05-18 Luigi Guerrini , Silvia Penati , Itamar Yaakov

Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated on any constant curvature spacetime of dimension d>2. Following Noether's method, the gauge fields interact with the…

High Energy Physics - Theory · Physics 2010-11-30 Xavier Bekaert , Elisa Meunier

We make an explicit link between the cubic interactions of off-shell fields and the on-shell three-point amplitudes in four dimensions. Both the cubic interactions and the on-shell three-point amplitudes had been independently classified in…

High Energy Physics - Theory · Physics 2016-08-24 Eduardo Conde , Euihun Joung , Karapet Mkrtchyan

Local quartic interaction of higher-spin gauge field with a scalar field is considered. In this special case, the nontrivial task of construction of interacting Lagrangian for the higher spin field in physical gauge was solved using the…

High Energy Physics - Theory · Physics 2021-08-25 Melik Karapetyan , Ruben Manvelyan , Gabriel Poghosyan

We apply a recently presented BRST procedure to construct the Largangian cubic vertex of higher-spin gauge field triplets interacting with massive free scalars. In flat space, the spin-s triplet propagates the series of irreducible spin-s,…

High Energy Physics - Theory · Physics 2009-06-11 A. Fotopoulos , N. Irges , A. C. Petkou , M. Tsulaia

We analyze quartic gauge-invariant interactions of massless higher spin fields by using vertex operators constructed in our previous works and computing their four-point amplitudes in superstring theory. The kinematic part of the quartic…

High Energy Physics - Theory · Physics 2011-02-18 Dimitri Polyakov

In this thesis, we present two aspects of higher-spin gauge field theories: dualities and interactions. We first consider dualities of the free theories at the level of the action. Then, external "electric" and "magnetic" sources are…

High Energy Physics - Theory · Physics 2007-05-23 S. Cnockaert

The dynamics of totally symmetric free massless higher spin fields in $AdS_d$ is reformulated in terms of the compensator formalism for AdS gravity. The $AdS_5$ higher spin algebra is identified with the star product algebra with the…

High Energy Physics - Theory · Physics 2011-05-05 M. A. Vasiliev

The off-shell actions for $\cal N$-extended conformal supergravity theories in three dimensions were formulated in [1,2] for $1\leq {\cal N} \leq 6$ using a universal approach. Each action is generated by a closed super three-form which is…

High Energy Physics - Theory · Physics 2019-06-10 Evgeny I. Buchbinder , Daniel Hutchings , Jessica Hutomo , Sergei M. Kuzenko

We construct a generating functional for the exact evalutation of a coherent representation of spin network amplitudes. This generating functional is defined for arbitrary graphs and depends only on a pair of spinors for each edge. The…

Mathematical Physics · Physics 2014-11-11 Jeff Hnybida

We develop the BRST approach to construct the general off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher spin fields on $d$-dimensional Minkowski space. We consider two different cases…

High Energy Physics - Theory · Physics 2024-09-04 Ioseph L. Buchbinder , Alexander A. Reshetnyak

Cubic interactions of higher-spin gauge fields in (A)dS are studied in the metric-like approach. Making use of the traceless and transverse constraints together with the ambient-space formalism, all consistent parity-invariant cubic…

High Energy Physics - Theory · Physics 2015-05-30 E. Joung , M. Taronna

We study interactions of higher-spin massless fields $\varphi$ with conserved currents multilinear in the off-shell matter fields $\phi$. Specifically, we focus on the 3d case where a slight modification of the $\sigma_-$-cohomology…

High Energy Physics - Theory · Physics 2024-04-17 E. O. Spirin , M. A. Vasiliev

The amplitude for scalar Higgs boson production in a fusion of two off-shell gluons is calculated including finite (not infinite) masses of quarks in the triangle loop. In comparison to the effective Lagrangian approach, we have found a new…

High Energy Physics - Phenomenology · Physics 2009-01-07 R. S. Pasechnik , O. V. Teryaev , A. Szczurek

This paper proposes a research program into how the special properties of the cubic chiral higher spin gravity theory may play a role in conformal cyclic cosmology and black hole physics, in particular for the black hole information…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Anders K. H. Bengtsson

We present, for the first time, the complete off-shell $4D, {\cal N}=2$ superfield actions for any free massless integer spin ${\bf s} \geq 2$ fields, using the ${\cal N}=2$ harmonic superspace approach. The relevant gauge supermultiplet is…

High Energy Physics - Theory · Physics 2024-09-27 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

Using Noether's procedure we present a complete solution for the trilinear interactions of arbitrary spins $s_{1},s_{2}, s_{3}$ in a flat background, and discuss the possibility to enlarge this construction to higher order interactions in…

High Energy Physics - Theory · Physics 2012-01-18 Ruben Manvelyan , Karapet Mkrtchyan , Werner Ruehl

We present results of investigation into a problem of cubic interaction vertices of massless higher spin fields which transform in arbitrary irreps of the Poincare algebra

High Energy Physics - Theory · Physics 2007-05-23 R. R. Metsaev

This Thesis reviews some recent developments about higher-spin interactions in flat and constant curvature backgrounds. Particular attention is given to the ambient-space formulation of the problem, both at the cubic and at the quartic…

High Energy Physics - Theory · Physics 2012-11-08 Massimo Taronna